The diffusion equation with nonlocal data

DOI10.1016/J.JMAA.2018.05.064zbMath1394.35233arXiv1708.00972OpenAlexW2963979320MaRDI QIDQ724682

D. Kharzeev

Publication date: 26 July 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.00972

zbMATH Keywords

initial-boundary value problemnonlocal boundary conditionFokas methodevolution partial differential equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (4)

Linear evolution equations on the half-line with dynamic boundary conditions ⋮ Integral representations for the double-diffusivity system on the half-line ⋮ Boundary behavior of the solution to the linear Korteweg‐De Vries equation on the half line ⋮ Fokas diagonalization of piecewise constant coefficient linear differential operators on finite intervals and networks

Cites Work

• Unnamed Item
• Unnamed Item
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• Evolution PDEs and augmented eigenfunctions. half-line
• The linear KdV equation with an interface
• Evolution PDEs and augmented eigenfunctions. Finite interval
• Heat conduction on the ring: interface problems with periodic boundary conditions
• Spectral theory of some non-selfadjoint linear differential operators
• Well-posed two-point initial-boundary value problems with arbitrary boundary conditions
• Heat equation on a network using the Fokas method
• A Unified Approach to Boundary Value Problems
• A Galerkin Procedure for the Diffusion Equation Subject to the Specification of Mass
• The solution of the diffusion equation in two space variables subject to the specification of mass
• Well-posed boundary value problems for linear evolution equations on a finite interval
• A spectral method for solving the sideways heat equation
• Interface Problems for Dispersive Equations
• Nonlocal and Multipoint Boundary Value Problems for Linear Evolution Equations
• The Method of Fokas for Solving Linear Partial Differential Equations
• The spectral representation of two-point boundary-value problems for third-order linear evolution partial differential equations

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